Find the general solution to the following second

afasiask7xg

afasiask7xg

Answered question

2022-03-23

Find the general solution to the following second order differential equations.
y5y=0

Answer & Explanation

Jambrichp2w2

Jambrichp2w2

Beginner2022-03-24Added 12 answers

First finding the solutions to the given second-order differential equation by forming the auxiliary equation
Let us take dydx=D
Then we have,
D25=0
D2=5
D=±5
We know when the solutions to the auxiliary equation are identical and of opposite sign then the general solution to the given differential equation is
y=c1eat+c2ebt
Here,
a=5, b=5
Therefore the general solution to the given differential equation is
y=c1e5t+c2e-5t

Jeffrey Jordon

Jeffrey Jordon

Expert2022-03-31Added 2605 answers

Answer is given below (on video)

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